ISBN: 9781330143490 - modification of effective range theory in the presence of a long-range (1/r4) potential (classic reprint) (3 Ergebnisse)

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Zustand: New. Print on Demand. This book is a detailed study of the effective range theory expansion of k cot n(L) for a potential which asymptotically approaches a constant times 1/r to the n power. The authors find that for n greater than or equal to 5, such an expansion does not exist. For n equal to 4, they find that the expansion breaks down at a term that depends upon L. For n equal to 1, they find that the usual shape independent approximation is not useful, even for L equal to 0. The authors develop an expansion of k cot n(0) about zero energy that contains a number of terms not present in the usual effective range theory, including a term linear in k. The authors also obtain the leading terms in the expansion of k2 cot n(L) for L not equal to 0. The analysis is very much simplified by the existence of known mathematical solutions, Mathieu functions, of the Schroedinger equation with V(r) equal to a constant times r to the minus 4 power. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. …